Home / 2,577.16-3,857.10-2,114.92

Finding the Fourth Proportional to 2,577.16, 3,857.10 and 2,114.92

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Solution

The fourth proportional to 2,577.16, 3,857.10 and 2,114.92 is: 3,165.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.16 : 3,857.10 = 2,114.92 : x
  2. Step 2: Convert to fraction form
    2,577.16/3,857.10 = 2,114.92/x
  3. Step 3: Cross multiply
    2,577.16x = 3,857.10 × 2,114.92
  4. Step 4: Simplify right side
    2,577.16x = 8,157,457.93
  5. Step 5: Solve for x
    x = 8,157,457.93/2,577.16
  6. Step 6: Final answer
    x = 3,165.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.